The theory of inner balayage of \(\mu \in \mathcal {E}^+\)  to arbitrary \(A\subset X\) , generalizing Cartan's theory [1]} of Newtonian balayage to a suitable kernel \(\kappa \)  on a locally compact space \(X\) , was developed in [2]}. The present section reviews some basic facts of this theory, to be used in the sequel; throughout it, we require the energy, consistency, and domination principles to be fulfilled.
